Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 Seiten |
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Seite 11
... RIGHT - ANGLED TRIANGLE is one which has a right angle ; as the triangle J K L. Ꭻ E F G H L K The side opposite to the right angle is called the hy- pothenuse ; as the side JL . 24. An ACUTE - ANGLED TRIANGLE is one which has three acute ...
... RIGHT - ANGLED TRIANGLE is one which has a right angle ; as the triangle J K L. Ꭻ E F G H L K The side opposite to the right angle is called the hy- pothenuse ; as the side JL . 24. An ACUTE - ANGLED TRIANGLE is one which has three acute ...
Seite 18
... angles , around a com- mon point , formed by any number of straight lines meet- ing at that point , are together equal to four right angles . PROPOSITION V. - THEOREM . A D 52. If two triangles have two sides and the included angle in ...
... angles , around a com- mon point , formed by any number of straight lines meet- ing at that point , are together equal to four right angles . PROPOSITION V. - THEOREM . A D 52. If two triangles have two sides and the included angle in ...
Seite 20
... angle in the other , B A ע C each to each ; hence the two triangles are equal , and the angle B is equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right ...
... angle in the other , B A ע C each to each ; hence the two triangles are equal , and the angle B is equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right ...
Seite 22
... right - angled triangle the hypothe- nuse is the longest side . PROPOSITION XI . - THEOREM . 67. The greater angle of any triangle is opposite the greater side . In the triangle CA B , suppose the A side A B to be greater than AC ; then ...
... right - angled triangle the hypothe- nuse is the longest side . PROPOSITION XI . - THEOREM . 67. The greater angle of any triangle is opposite the greater side . In the triangle CA B , suppose the A side A B to be greater than AC ; then ...
Seite 24
... triangles are equal , and the angle BCF is equal to the angle BCA ( Prop . V. ) But the angle BCA is , by hypothesis , a right angle ; therefore BCF must also be a right angle ; and if the two adja- cent angles , BCA and BCF , are to ...
... triangles are equal , and the angle BCF is equal to the angle BCA ( Prop . V. ) But the angle BCA is , by hypothesis , a right angle ; therefore BCF must also be a right angle ; and if the two adja- cent angles , BCA and BCF , are to ...
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Häufige Begriffe und Wortgruppen
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B base bisect chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Beliebte Passagen
Seite 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 120 - At a point in a given straight line to make an angle equal to a given angle.
Seite 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Seite 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Seite 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Seite 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Seite 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Seite 2 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Seite 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.